| The post-doc, of the duration of up to two years, will be based in the Laboratoire Jacques-Louis Lions at Sorbonne Université and will involve periodic visits to Renaissance Fusion in Grenoble.
He/she will work in collaborations both with experts in control theory (team CAGE), plasma physics (Renaissance Fusion), and shape optimization (Yannick Privat, Université de Strasbourg).
The stellarator design opens many technological and theoretical research challenges. At the core of the proposed project is the design of coils generating a magnetic field in a toroidal domain whose integral lines are sufficiently twisted to optimize the confinement. Such twist is needed to counteract natural drifts of the plasma towards the exterior of the stellarator.
From a mathematical point of view, the first step consists in understanding the topological properties of phase portraits of magnetic fields in toroidal domains. Then, a strategy is needed to optimize the magnetic field “bottle” or “cage” as to better confine the plasma and make it more stable. To that end, one has to select a suitable figure of merit reflecting confinement and stability properties.
Principales activités
The post-doc activities will be organized around three main lines:
Foliations of toroidal domains via integral lines of Hamiltonian vector fields.
Inverse problems to improve coils' design.
Shape optimization to combine the previous two steps.
Compétences
The candidate should speak English fluently.
A solid background in mathematical physics and/or shape optimization will be highly appreciated. |
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